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50625648 = 243529449
BaseRepresentation
bin1100000100011…
…1110001110000
310112021001100000
43001013301300
5100430010043
65005030000
71153211433
oct301076160
9115231300
1050625648
1126638887
1214b55300
13a647108
146a1b81a
1546a02d3
hex3047c70

50625648 has 120 divisors (see below), whose sum is σ = 152334000. Its totient is φ = 16257024.

The previous prime is 50625647. The next prime is 50625667. The reversal of 50625648 is 84652605.

50625648 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50625647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112528 + ... + 112976.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 250625648 is an apocalyptic number.

50625648 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50625648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167000).

50625648 is an abundant number, since it is smaller than the sum of its proper divisors (101708352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50625648 is a wasteful number, since it uses less digits than its factorization.

50625648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 50625648 is about 7115.1702720314. The cubic root of 50625648 is about 369.9333895186.

The spelling of 50625648 in words is "fifty million, six hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 449 464 486 522 648 696 783 898 972 1044 1296 1347 1392 1566 1796 1944 2088 2349 2694 3132 3592 3888 4041 4176 4698 5388 6264 7047 7184 8082 9396 10776 12123 12528 13021 14094 16164 18792 21552 24246 26042 28188 32328 36369 37584 39063 48492 52084 56376 64656 72738 78126 96984 104168 109107 112752 117189 145476 156252 193968 208336 218214 234378 290952 312504 351567 436428 468756 581904 625008 703134 872856 937512 1054701 1406268 1745712 1875024 2109402 2812536 3164103 4218804 5625072 6328206 8437608 12656412 16875216 25312824 50625648